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Finding the Fourth Proportional to 9,536.16, 13,151.58 and 7,151.49

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Solution

The fourth proportional to 9,536.16, 13,151.58 and 7,151.49 is: 9,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.16 : 13,151.58 = 7,151.49 : x
  2. Step 2: Convert to fraction form
    9,536.16/13,151.58 = 7,151.49/x
  3. Step 3: Cross multiply
    9,536.16x = 13,151.58 × 7,151.49
  4. Step 4: Simplify right side
    9,536.16x = 94,053,392.85
  5. Step 5: Solve for x
    x = 94,053,392.85/9,536.16
  6. Step 6: Final answer
    x = 9,862.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.